Question

Could somebody please help me? I'm struggling with this question:(​

Answer 1

Slope is the charge per hour, y-intercept is the flat fee earned by Nicole and the equation to find the cost per hour is
`C=m(h)+3`

For
`5` hours of babysitting amount earned is
`28\$`.

Explanation:

From the given data lets assign time on x-axis and the amount earned on y-axis.

We have to choose two points.

`(x_1,y_1)=(3,18)` and
`(x,y)=(5,28)`

By applying point slope form we have to find the slope of the points.

Slope (m)
`= (y-y_1)/(x-x_1) =(28-18)/(5-3) =(10)/(2) =5`

Here slope is representing per hour charge of Nicole for babysitting.

Now lets find the y-intercept value by plugging the values of
`(x,y)` in standard equation of line that is
`y=mx+b` ,equivalent to
`C=m(h)+b` where
`b\\` is the y-intercept.

The equation for cost (C),
`C=m(h)+3` ,
`h` is the number of hours.

`b=C-m(h), b=28-5(5), b=28-25=3`

This y-intercept
`(b=3)` is representing the flat fee Nicole will charge for babysitting.

Now

For
`5` hours cost we will put
`h=5` in the equation of cost.

`C=5h+3,C=5(5)+3=28\$`

For
`5` hours of baby sitting Nicole will earn an amount of
`C=5(5)+3=28\$`

So our final answers are equation of cost
`=C=m(h)+3`, y-intercept is the flat fee and slope is the charge per hour.For
`5` hours amount earned is
`28\$`.